1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Flauer [41]
2 years ago
7

Two old RSM students were standing ten feet apart when they ran in opposite directions with speeds of 180 feet per minute and 16

0 feet per minute respectively, how many minutes would pass before they were 1870 feet apart?
Mathematics
1 answer:
inessss [21]2 years ago
7 0

The number of minutes that would pass before they were 1870 feet apart is 5.47 minutes

  • Since one student runs at a speed of 180 feet per minutes, in time t minutes, he moves a distance of d = 180t.
  • Also, the second student runs at a speed of 160 feet per minute, in time t minutes, he moves a distance of d' = 160t.

Since they are initially 10 feet apart, their total distance apart after t minutes is D = d + 10 + d'

D = 180t + 10 + 160t

D = 340t + 10

<h3>Number of minutes before they are 1870 feet</h3>

Making t subject of the formula, we have

t = (D - 10)/340

Since they are 1870 feet apart after t minutes, D = 1870 feet.

t = (D - 10)/340

t = (1870 - 10)/340

t = 1860/340

t = 5.47 minutes

So, the number of minutes that would pass before they were 1870 feet apart is 5.47 minutes

Learn more about minutes of distance apart here

brainly.com/question/8783264

You might be interested in
Which series of transformations shows that heptagon A is congruent to heptagon B?
Arte-miy333 [17]

Answer: Reflect heptagon A over the y-axis, rotate it 90° counterclockwise about the point (4, 3), and translate it 8 units down.

Step-by-step explanation:

3 0
3 years ago
Question is in picture pls ASAP its due by 8 its 6 will give you brainliest :)))))))
shtirl [24]

Answer: 100 rides are needed to break even.

Step-by-step explanation:

C(x)=15x+2000 - x is the number of rides.

R(x)=35 x , where x is the number of rides

35x=15x+2000

35-15x=2000~subtract 15x from both sides~

20x=2000 ~simplify~

x=2000/20 ~dividing both sides by 20~

x=100

5 0
2 years ago
Which numner is bigger -24 or -16<br><br>passes helppp​
wlad13 [49]

Answer:

-16

Step-by-step explanation:

-16 is a bigger number than -24 because its closer to positive numbers on the number line. Closer to 0 or 1 on the number line.

4 0
2 years ago
Read 2 more answers
The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees ba
blsea [12.9K]

Answer:

The test statistic is z = -2.11.

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Group 1: Sample of 35, mean of 1276, standard deviation of 347.

This means that:

\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537

Group 2: Sample of 35, mean of 1439, standard deviation of 298.

This means that:

\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712

Test if there is a difference in productivity level.

At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So

H_0: \mu_1 - \mu_2 = 0

At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So

H_1: \mu_1 - \mu_2 \neq 0

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

From the two samples:

X = \mu_1 - \mu_2 = 1276 - 1439 = -163

s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{-163 - 0}{77.3144}

z = -2.11

The test statistic is z = -2.11.

7 0
3 years ago
Which of the following does this situation repeats
Setler79 [48]
Please attach the question
6 0
3 years ago
Other questions:
  • How to divide 0.13 by 0.25
    5·1 answer
  • What is the domain of the exponential function shown below? f(x) = 5 • 3x
    7·2 answers
  • Express each rate as a unit rate
    13·1 answer
  • 2. Express the following in the form of a ratio and
    13·1 answer
  • Brainliest 40 POINT YOU HAVE TO MULTIPLY Austin is purchasing a car. The car he would like to purchase comes in 5 different colo
    6·2 answers
  • Point S is located at(9,−3). Point T is located at (4,-3)
    12·1 answer
  • A restaurant/bar conducted random sampling of bar purchases. In a sample of 17 restaurant patrons, they found that, when the bac
    6·1 answer
  • If a polynomial has two factors: It will either have two zeros or the same zero twice.
    6·1 answer
  • Jing jing works in a store and she spends some of her time organizing the stationary section. If there are nine different items
    13·1 answer
  • Yo what u guys think.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!